{"id":209376,"date":"2024-03-21T14:07:39","date_gmt":"2024-03-21T14:07:39","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e9%87%8f%e5%ad%90%e3%82%ad%e3%83%a3%e3%83%91%e3%82%b7%e3%82%bf%e3%83%b3%e3%82%b9%e3%81%ae%e5%85%ac%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:11:39","modified_gmt":"2024-05-17T15:11:39","slug":"%e9%87%8f%e5%ad%90%e3%82%ad%e3%83%a3%e3%83%91%e3%82%b7%e3%82%bf%e3%83%b3%e3%82%b9%e3%81%ae%e5%85%ac%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e9%87%8f%e5%ad%90%e3%82%ad%e3%83%a3%e3%83%91%e3%82%b7%e3%82%bf%e3%83%b3%e3%82%b9%e3%81%ae%e5%85%ac%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u516c\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u30ca\u30ce\u30b9\u30b1\u30fc\u30eb\u30c7\u30d0\u30a4\u30b9\u3084\u534a\u5c0e\u4f53\u7269\u7406\u5b66\u3067\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3001\u96fb\u5b50\u306e\u91cf\u5b50\u529b\u5b66\u7684\u6027\u8cea\u306b\u57fa\u3065\u304f\u65b0\u3057\u3044\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u5f62\u614b\u3067\u3059\u3002<\/p>\n<h2>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u516c\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\uff08Quantum Capacitance\uff09\u306f\u4e3b\u306b\u30ca\u30ce\u30b9\u30b1\u30fc\u30eb\u306e\u30c7\u30d0\u30a4\u30b9\u3084\u534a\u5c0e\u4f53\u7269\u7406\u5b66\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u96fb\u6c17\u5de5\u5b66\u3084\u7269\u7406\u5b66\u306e\u89b3\u70b9\u304b\u3089\u3001\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u5f93\u6765\u306e\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u3068\u7570\u306a\u308a\u3001\u96fb\u5b50\u306e\u91cf\u5b50\u529b\u5b66\u7684\u306a\u6027\u8cea\u306b\u7531\u6765\u3057\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u57fa\u672c\u7684\u306a\u6982\u5ff5\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n<h2>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u6982\u5ff5<\/h2>\n<p>\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u3068\u306f\u3001\u30b3\u30f3\u30c7\u30f3\u30b5\u304c\u96fb\u8377\u3092\u84c4\u3048\u308b\u80fd\u529b\u3092\u8868\u3059\u7269\u7406\u91cf\u3067\u3059\u3002\u5f93\u6765\u306e\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u7269\u8cea\u4e2d\u306e\u96fb\u8377\u306e\u5206\u5e03\u306b\u4f9d\u5b58\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u96fb\u5b50\u304c\u5360\u3081\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u6e96\u4f4d\u306e\u6570\u3068\u5bc6\u5ea6\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002<\/p>\n<p>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u3001\u7279\u5b9a\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u7bc4\u56f2\u306b\u304a\u3051\u308b\u96fb\u5b50\u306e\u72b6\u614b\u5bc6\u5ea6\uff08Density of States, DOS\uff09\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u72b6\u614b\u5bc6\u5ea6\u304c\u9ad8\u3044\u307b\u3069\u3001\u591a\u304f\u306e\u96fb\u5b50\u304c\u305d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u7bc4\u56f2\u306b\u5b58\u5728\u3067\u304d\u308b\u305f\u3081\u3001\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u3082\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u516c\u5f0f<\/h2>\n<p>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9 \\( C_q \\) \u306f\u96fb\u5b50\u306e\u72b6\u614b\u5bc6\u5ea6 \\( D(E) \\) \u3068\u30d5\u30a1\u30fc\u30df\u30a8\u30cd\u30eb\u30ae\u30fc \\( E_F \\) \u306e\u5909\u5316\u7387\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u57fa\u672c\u7684\u306a\u5f0f\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n<p>\\[<br \/>\nC_q = e^2 \\frac{dN}{dE_F}<br \/>\n\\]<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( e \\) \u306f\u96fb\u5b50\u306e\u96fb\u8377\uff08\u7d04 \\( 1.602 \\times 10^{-19} \\text{C} \\)\uff09<\/li>\n<li>\\( \\frac{dN}{dE_F} \\) \u306f\u30d5\u30a1\u30fc\u30df\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u5bfe\u3059\u308b\u96fb\u5b50\u306e\u6570\u306e\u5fae\u5206\u3067\u3059<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u306b\u3088\u308a\u3001\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u304c\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u306e\u5bc6\u5ea6\u306b\u76f4\u63a5\u4f9d\u5b58\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u5bfe\u8c61\u3068\u306a\u308b\u30b7\u30b9\u30c6\u30e0\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u5bc6\u5ea6 \\( D(E) \\) \u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\u3068\u3057\u3066\u3001\u4e8c\u6b21\u5143\u96fb\u5b50\u30ac\u30b9\uff082DEG\uff09\u306e\u5834\u5408\u3001\u72b6\u614b\u5bc6\u5ea6\u306f\u4ee5\u4e0b\u306e\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\\[<br \/>\nD(E) = \\frac{g_s g_v m^*}{2 \\pi \\hbar^2}<br \/>\n\\]<\/p>\n<p>\u3053\u3053\u3067\u3001<\/p>\n<ul>\n<li>\\( g_s \\) \u306f\u30b9\u30d4\u30f3\u306e\u7e2e\u91cd\u5ea6\uff08\u901a\u5e38 2\uff09<\/li>\n<li>\\( g_v \\) \u306f\u8c37\u306e\u7e2e\u91cd\u5ea6\uff08\u4e00\u822c\u7684\u306b\u6750\u6599\u306b\u4f9d\u5b58\uff09<\/li>\n<li>\\( m^* \\) \u306f\u96fb\u5b50\u306e\u6709\u52b9\u8cea\u91cf<\/li>\n<li>\\( \\hbar \\) \u306f\u63db\u7b97\u30d7\u30e9\u30f3\u30af\u5b9a\u6570<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\u30d5\u30a1\u30fc\u30df\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u5bfe\u3059\u308b\u96fb\u5b50\u306e\u6570\u306e\u5fae\u5206\u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u7cfb\u306e\u6e29\u5ea6\u3084\u5316\u5b66\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306a\u3069\u306e\u60c5\u5831\u3082\u5fc5\u8981\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u4f4e\u6e29\u3067\u306e\u8fd1\u4f3c\u3068\u3057\u3066\u3001\u96fb\u5b50\u306e\u6570 \\( N \\) \u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u5bc6\u5ea6\u3068\u30d5\u30a1\u30fc\u30df\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u7a4d\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002\\(( N \\approx D(E_F) \\cdot E_F )\\)<\/p>\n<p>\u3053\u308c\u3089\u306e\u60c5\u5831\u3092\u5143\u306b\u3001\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u8a08\u7b97\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u3001\u30ca\u30ce\u30b9\u30b1\u30fc\u30eb\u30c7\u30d0\u30a4\u30b9\u3084\u73fe\u4ee3\u306e\u534a\u5c0e\u4f53\u6280\u8853\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u91cf\u5b50\u529b\u5b66\u7684\u306a\u52b9\u679c\u3092\u8003\u616e\u306b\u5165\u308c\u308b\u3053\u3068\u3067\u3001\u5f93\u6765\u306e\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u3068\u306f\u7570\u306a\u308b\u7279\u6027\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4eca\u56de\u7d39\u4ecb\u3057\u305f\u57fa\u672c\u7684\u306a\u516c\u5f0f\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u57fa\u790e\u3092\u5b66\u3073\u3001\u3055\u3089\u306b\u6df1\u304f\u63a2\u6c42\u3059\u308b\u305f\u3081\u306e\u7b2c\u4e00\u6b69\u3068\u306a\u308b\u3067\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306f\u30ca\u30ce\u30b9\u30b1\u30fc\u30eb\u30c7\u30d0\u30a4\u30b9\u3084\u534a\u5c0e\u4f53\u7269\u7406\u5b66\u3067\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3001\u96fb\u5b50\u306e\u91cf\u5b50\u529b\u5b66\u7684\u6027\u8cea\u306b\u57fa\u3065\u304f\u65b0\u3057\u3044\u30ad\u30e3\u30d1\u30b7\u30bf\u30f3\u30b9\u306e\u5f62\u614b\u3067\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[96],"tags":[97],"class_list":["post-209376","post","type-post","status-publish","format-standard","hentry","category-96","tag-97","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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